//app.component.html
<app-child [values]="data" (childEvent) = "getChildEvent($event)">
</app-child>

//app.component.ts
@Component({
 selector: 'app-root',
 templateUrl: './app.component.html',
 styleUrls: ['./app.component.css']
})
export class AppComponent {
 data = [1,2,3];

 getChildEvent(index){
  console.log(index);
  this.data.splice(index,1);
 }
}

//app-child.component.html
<p *ngFor="let item of values; let i = index" (click)="fireChildEvent(i)">
 {{item}}
</p>


//app-child.component.ts
@Component({
 selector: 'app-child',
 templateUrl: './child.component.html',
 styleUrls: ['./child.component.css']
})
export class ChildComponent implements OnInit {
 @Input() values;
 @Output() childEvent = new EventEmitter<any>();
 constructor() { }

 ngOnInit() {

 }
 fireChildEvent(index){
  this.childEvent.emit(index);
 }
}